Zonotope-based interval estimation for discrete-time Markovian jump systems with complex transition probabilities and quantization

Abstract

This paper investigates the interval estimation for a class of discrete-time Markovian jump systems with generally uncertain transition probabilities and unknown-but-bounded disturbance based on the zonotopic approach. First, considering the limited communication bandwidth of the networked system, quantization strategy is exploited to quantify the output estimation error. Then, we study the stochastic stability and H∞ performance of the estimation error system with generally uncertain transition probabilities. Based on the obtained results, new criteria are provided to design the mode-dependent quantized observers. Moreover, with the zonotopic estimation approach, an iterative procedure is raised to construct time-varying zonotopes, based on which the state interval estimation is gained for Markovian jump systems. Finally, a numerical example is proposed to verify the correctness and effectiveness of the proposed method.